Author:
Quadri Murtaza A.,Ashraf Mohd.
Abstract
The following Theorem is proved: Let R be a semi-prime ring in which either (xy)n − xnyn or (xy)n − ynxn is central, for all x,y in R where n > 1 is a fixed integer. Then R is commutative.
Publisher
Cambridge University Press (CUP)
Reference7 articles.
1. Power Maps in rings;Herstein;Michigan Math. J.,1961
2. On some commutativity theorems of Herstein
3. A commutativity theorem for semiprime rings
4. On the commutativity of non-associative rings;Awtar;Publ. Math. Debrecen,1975
Cited by
2 articles.
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